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On the Number of Bins in Equilibria for Signaling Games
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligenta system, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-5638-3213
Oliver Wyman Inc, Toronto, ON M5J 0A1, Canada..
Bilkent Univ, Dept Elect & Elect Engn, TR-06800 Ankara, Turkey..
Queens Univ, Dept Math & Stat, Kingston, ON K7L 3N6, Canada..
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2019 (English)In: 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), IEEE , 2019, p. 972-976Conference paper, Published paper (Refereed)
Abstract [en]

We investigate the equilibrium behavior for the decentralized quadratic cheap talk problem in which an encoder and a decoder, viewed as two decision makers, have misaligned objective functions. In prior work, we have shown that the number of bins under any equilibrium has to be at most countable, generalizing a classical result due to Crawford and Sobel who considered sources with density supported on [0, 1]. In this paper, we refine this result in the context of exponential and Gaussian sources. For exponential sources, a relation between the upper bound on the number of bins and the misalignment in the objective functions is derived, the equilibrium costs are compared, and it is shown that there also exist equilibria with infinitely many bins under certain parametric assumptions. For Gaussian sources, it is shown that there exist equilibria with infinitely many bins.

Place, publisher, year, edition, pages
IEEE , 2019. p. 972-976
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-263400DOI: 10.1109/ISIT.2019.8849498ISI: 000489100301013Scopus ID: 2-s2.0-85073148260OAI: oai:DiVA.org:kth-263400DiVA, id: diva2:1369274
Conference
2019 IEEE International Symposium on Information Theory (ISIT), 7-12 July 2019, Paris, France
Note

QC 20191111

Available from: 2019-11-11 Created: 2019-11-11 Last updated: 2019-11-11Bibliographically approved

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Saritas, Serkan

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